國立清華大學 數學系

Abstract: In this talk, I will introduce two immersed boundary (IB) methods for simulating fluid-structure interaction problems. The first one is a penalty IB method for the transient viscous flow with an inextensible interface enclosing a suspended solid particle. The main idea of this approach relies on the penalty techniques by modifying the constitutive equation of Stokes flow to weaken the incompressibility condition, relating the surface divergence to the elastic tension to relax the interface's inextensibility, and connecting the particle surface velocity with the particle surface force to regularize the particle's rigid motion. The second one is a direct-forcing IB method with projection methods for fluid-solid interaction problems. In this approach, a virtual force term is added to the time-dependent incompressible Navier-Stokes equations to accommodate interaction between the solid and the fluid. A number of numerical experiments are presented to illustrate the superior performance of the proposed IB methods. Tea Time:3:30PM, R707